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Branden is trying to save money and has been examining how much money he spends and

saves. Here is a list of transactions from his bank account:
+10, -11, -7, +4, +7, -15, +6, -9, +11, +9
a. Find the mean of his transactions. Show all of your work.
b. Find the median of his transactions. Show all of your work.

1 Answer

4 votes

Answer:

a. -0.5

b. 5

Explanation:

**Part a: Find the mean of his transactions**

The mean of a set of numbers is calculated by adding all the numbers together and then dividing by the quantity of numbers.

Let's first add all the transactions together:

+10 + (-11) + (-7) + 4 + 7 + (-15) + 6 + (-9) + 11 + 9

This simplifies to:

-11 + -7 - 15 - 9 + 10 + 4 + 7 + 6 + 11 + 9

Which equals:

-5

There are 10 transactions in total, so to find the mean, we divide the sum by the quantity:

-5 / 10 = -0.5

So, the mean of his transactions is -0.5.

**Part b: Find the median of his transactions**

The median is the middle value in a list of numbers.

First, let's order the transactions from least to greatest:

-15, -11, -9, -7, 4, 6, 7, 9, 10, 11

Since there are 10 numbers (an even quantity), the median will be the average of the 5th and 6th numbers.

Looking at the list, the 5th number is 4 and the 6th number is 6.

To find the median, we calculate the average of these two numbers by adding them together and dividing by 2:

(4 + 6) / 2 = 5

So, the median of his transactions is 5.

Hope this helps! :)

User Imak
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